39 lines
795 B
Text
39 lines
795 B
Text
open nat tactic
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inductive vec (A : Type) : nat → Type
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| nil : vec nat.zero
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| cons : ∀ {n}, A → vec n → vec (succ n)
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example (n : nat) (v w : vec nat n) (a b : nat) : vec.cons a v = vec.cons b w → a = b :=
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by do
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intro `H,
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H ← get_local `H,
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injection H,
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trace_state,
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assumption
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example (n : nat) (v w : vec nat n) (a b : nat) : vec.cons a v = vec.cons b w → v = w :=
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by do
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intro `H,
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H ← get_local `H,
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injection H,
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trace_state,
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assumption
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#print "----------------"
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example (a b : nat) : succ a = succ b → a = b :=
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by do
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intro `H,
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H ← get_local `H,
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injection H,
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trace_state,
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assumption
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example (a b c d : nat) : (a, b) = (c, d) → a = c :=
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by do
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intro `H,
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H ← get_local `H,
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injection_with H [`H1, `H2],
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H1 ← get_local `H1,
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exact H1
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